Lets get started :)
Diameter = 2.5 ft
Radius =

a) The Circumference formula of a circle is given in the picture below, we can plug-in the given information
C = 2

(1.25) or 2.5
≈ 7.85 ft (we can leave the answer in terms of pi {

})
b) We divide the total number of distance the tire will travel by the circumference to find how many times the tire will roll
(I have used the value in feet because we found the circumference in feet units and notice that I took the value of circumference to be 2.5

instead of 7.85, to increase accuracy)
672.2
The tire will rotate
672 times (a tire cannot roll a decimal times, so we take to the nearest whole number) to travel 1 mile
Answer:
(-2,-4)
Step-by-step explanation:
The vertex of a parabola is it's lowest (or highest, but lowest in this context) point. Your lowest point is (-2,-4), so that is your answer.
Answer:
Area of trapezoid = 67.6 square units
Step-by-step explanation:
Area of a trapezoid is given by the expression,
Area of the trapezoid = 
Here,
and
are the parallel sides of the given trapezoid.
And '
' = Height between the parallel sides
From the given triangle ABE,
m(∠ABE) = m(∠ABC) - m(∠EBC)
m(∠ABE) = 120° - 90°
= 30°
By applying cosine rule in the given triangle,
cos(30°) = 


BE =
units
By applying sine rule in ΔABE,
sin(30°) = 


AE = 3 units
Length of 
Length of
[AE = FD, since given trapezoid ABCD is an isosceles trapezoid]


Height between the parallel sides 
Area of the trapezoid = 
= 
= 
= 67.6 square units
Answer:
a
Step-by-step explanation:
The scale factor is 0.25, not 4 in this case. You can determine this by looking at the comparison of the triangles. The first triangle is 4.4 and the second one is 1.1, so the scale factor is determined by looking at what is happening to the first one to result in the second.
0.25 is 1/4. The second hypotenuse is 1/4 the hypotenuse of the first one.